These two prior densities reflect the assumptions implicit in most approaches to the measure problem. The late-time/volume-weighted prior is closely related to
measures based on the late-time, quasi-stationary distribution [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}. The assumption in this approach is that the evolution of the multiverse has been going on for an exponentially long time, much longer than the mixing time of the landscape. Correspondingly, we will find in Sec. REF  that the probabilities with late-time prior coincide with the quasi-stationary measure of Garriga, Vilenkin, Schwartz-Perlov and Winitzki (GSVW) [7]}. Because the prior peaks at late times, we refer to this case as the late-time hypothesis \({\cal H}_{\rm late}\) .
